Question

What is the slope-intercept form of the function described by this table? x 1 2 3 4 y −2 −6 −10 −14 Enter your answers in the boxes. y = ? x + ?

Answer 1

`y=-4x+2`

Explanation:

we know that

The equation of the line in slope intercept form is equal to

`y=mx+b`

Step 1

Find the slope m

Let

`A(1,-2),B(2.-6)`

`m=(-6+2)/(2-1)=-4`

Step 2

Find the value of b

we have

`m=-4`

`A(1,-2)`

substitute in the equation of the line

`y=mx+b`

`-2=(-4)(1)+b`

`-2=-4+b`

`b=2`

The equation in slope intercept form is equal to

`y=-4x+2`